AQA AS Paper 1 2024 June — Question 11

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2024
SessionJune
TopicDifferentiation Applications
TypeDetermine nature of stationary points

11 It is given that for the continuous function \(g\)
  • \(g ^ { \prime } ( 1 ) = 0\)
  • \(\mathrm { g } ^ { \prime } ( 4 ) = 0\)
  • \(\mathrm { g } ^ { \prime \prime } ( x ) = 2 x - 5\)
11
  1. Determine the nature of each of the turning points of \(g\)
    Fully justify your answer.
    11
  2. Find the set of values of \(x\) for which \(g\) is an increasing function.